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Finding the Fourth Proportional to 12,342.51, 18,513.75 and 4,022.51

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Solution

The fourth proportional to 12,342.51, 18,513.75 and 4,022.51 is: 6,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.51 : 18,513.75 = 4,022.51 : x
  2. Step 2: Convert to fraction form
    12,342.51/18,513.75 = 4,022.51/x
  3. Step 3: Cross multiply
    12,342.51x = 18,513.75 × 4,022.51
  4. Step 4: Simplify right side
    12,342.51x = 74,471,744.51
  5. Step 5: Solve for x
    x = 74,471,744.51/12,342.51
  6. Step 6: Final answer
    x = 6,033.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.